Answer:
B. 17%.
Step-by-step explanation:
The General Probability Addition Rule is
P(A∪B) = P(A) + P(B) − P(A∩B) where P(A∪B) = P(A) or P(B) and P(A∩B) = P(A) and P(B).
So applying this to our problem we have:
0.57 = 0.43 + 0.31 - P( household has a cat and a dog)
so the answer is 0.43 + 0.31 - 0.57
= 0.17 or 17%.
The probability that the household own both a cat and a dog will be 17%.
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The General Probability Addition Rule is
P(A∪B) = P(A) + P(B) − P(A∩B) where P(A∪B) = P(A) or P(B) and P(A∩B) = P(A) and P(B).
So applying this to our problem we have:
0.57 = 0.43 + 0.31 - P( household has a cat and a dog)
so the answer is 0.43 + 0.31 - 0.57
= 0.17 or 17%.
Hence the probability that the household own both a cat and a dog will be 17%.
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